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Finding the Fourth Proportional to 354.42, 530.48 and 320.74

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Solution

The fourth proportional to 354.42, 530.48 and 320.74 is: 480.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.42 : 530.48 = 320.74 : x
  2. Step 2: Convert to fraction form
    354.42/530.48 = 320.74/x
  3. Step 3: Cross multiply
    354.42x = 530.48 × 320.74
  4. Step 4: Simplify right side
    354.42x = 170,146.16
  5. Step 5: Solve for x
    x = 170,146.16/354.42
  6. Step 6: Final answer
    x = 480.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.